The force of friction on an airplane in level flight is given by F_{f}=k v^{2}, where k is some constant, and v is the speed of the airplane. When the power output from the engines is P_{0}, the plane is able to fly at a speed v_{0}. If the power output of the engines is increased by 100 \% to 2 P_{0}, the airplane will be able to fly at a new speed given by
Answer Choices
A. 1.12 v_{0}
B. 1.26 v_{0}
C. 1.41 v_{0}
D. 2.82 v_{0}
E. 8 v_{0}